Automatic Multivector Differentiation and Optimization

Tingelstad, Lars; Egeland, Olav
Journal article, Peer reviewed
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URI
http://hdl.handle.net/11250/2428077
Date
2016
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Advances in Applied Clifford Algebras 2016   10.1007/s00006-016-0722-6
Abstract
In this work, we present a novel approach to non-linear optimization of multivectors in the Euclidean and conformal model of geometric algebra by introducing automatic differentiation. This is used to compute gradients and Jacobian matrices of multivector valued functions for use in non-linear optimization where the emphasis is on the estimation of rigid body motions.
Publisher
Springer Verlag
Journal
Advances in Applied Clifford Algebras
Navngivelse 4.0 Internasjonal
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